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AP EAMCET2006MathematicsProperties of Triangles

The angles of a triangle are in the ratio 3: 5: 10 . Then the ratio of the smallest side to the greatest side is :

Options

  1. A1: 10^
  2. B1: 2 10^
  3. C1: 10^
  4. D1: 2 10^

Correct answer

D. 1: 2 10^

Step-by-step solution

Let the angles of a triangle are 3 x, 5 x and 10 x . 3 x+5 x+10 x=180^ x=10^ Smallest angle of a triangle =30^ and the greatest angle =100^ Required ratio = 30^ : 100^ = 1 2 : 10^ =1: 2 10^

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